The marginal product curve intersects the average product curve at the maximum point of the AP curve. Conversely, the marginal cost curve intersects the average variable cost curve at the minimum point of the AVC curve. Explain why this necessarily has to be the case. Be as detailed as you possible can in answering this question. You can either choose to approach your answer to this question mathematically or intuitively. I will accept either answer as long as you are able to fully explain this phenomenon.